Online GCD Calculator is useful to find the GCD of 690, 879, 600, 774 quickly. Get the easiest ways to solve the greatest common divisor of 690, 879, 600, 774 i.e 3 in different methods as follows.
Given Input numbers are 690, 879, 600, 774
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
GCD of numbers is the greatest common divisor
So, the GCD (690, 879, 600, 774) = 3.
Given numbers are 690, 879, 600, 774
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 879 are 3 x 293
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 774 are 2 x 3 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 690, 879, 600, 774 is 3.
Given numbers are 690, 879, 600, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 879) = 202170
GCD(690, 879) = ( 690 x 879 ) / 202170
= 690 / 879
= 690
Step2:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
Step3:
LCM(3, 774) = 774
GCD(3, 774) = ( 3 x 774 ) / 774
= 3 / 774
= 3
So, Greatest Common Divisor of 690, 879, 600, 774 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 879, 600, 774
The greatest common divisor of numbers 690, 879, 600, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 879, 600, 774 is 3.
1. What is the GCD of 690, 879, 600, 774?
GCD of given numbers 690, 879, 600, 774 is 3
2. How to calculate the greatest common divisor of 690, 879, 600, 774?
We can find the highest common divisor of 690, 879, 600, 774 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 690, 879, 600, 774 i.e 3.
3. How can I use the GCD of 690, 879, 600, 774Calculator?
Out the numbers 690, 879, 600, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.